Delove the truth for the three function same table

Question

Given Boolean functions:

$F(x,y,z)=x'.(y'+z')(x+y'), G(x,y,z)=x'.(z+yz')(x\oplus zy')$

Develop the truth table for the three function in the same table

Answer 1

Partial truth-table to get you started. Process each term independently. Final term are ANDs, so all 1's will be 1's. x′.(z+yz′)(x⊕zy′) $$ \begin{array}{ccc|cccccccc} \text{x} & \text{y} & \text{z} & \text{x'} & \text{(y′+z′)} & \text{(x+y′)} & \text{F(x,y,z)} & \text{yz′} & \text{(z+yz′)} & \text{zy′} & \text{(x⊕zy′)} & \text{G(x,y,z)}\\ \hline 0 & 0 & 0 & 1 & 1 & 1 & 1\\ 0 & 0 & 1 & 1 & 1 & 1 & 1\\ 0 & 1 & 0 & 1 & 1 & 0 & 0\\ 0 & 1 & 1 & 1 & 0 & 0\\ 1 & 0 & 0 & 0 & 1 & 1\\ 1 & 0 & 1 \\ 1 & 1 & 0 \\ 1 & 1 & 1 \\ \end{array} $$ You should be able to figure it out from there. Just add more columns.